The Analysis of Contingency Tables With Groupings Based on Quantitative Characters

F Yates

doi:10.1093/biomet/35.1-2.176

January 1, 1948Biometrika

The Analysis of Contingency Tables With Groupings Based on Quantitative Characters

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Key Points

To establish statistical methods for evaluating contingency tables when one or both categorical classifications are derived from grouped quantitative characters.
Derived analytical procedures to assign scores to ordered category groupings within contingency tables.
Partitioned the total chi-square statistic into single-degree-of-freedom components representing linear regression trends and residual deviations.
Formulated a score-based test statistic that isolates systematic linear trends across ordered categorical groups.
Showed that utilizing quantitative score assignments increases statistical power compared to standard general chi-square tests of independence.

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Implication

Methodological analysis demonstrates statistical techniques for ordered contingency tables, enhancing test sensitivity for linear trends across categories.

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F Yates (1948) studied this question.

synapsesocial.com/papers/6a08879fad370a6b44de28b2 https://doi.org/10.1093/biomet/35.1-2.176

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The Analysis of Contingency Tables With Groupings Based on Quantitative Characters

Key Points

No abstract yet

Implication

Discussion

Cite This Study

The Analysis of Contingency Tables With Groupings Based on Quantitative Characters

Key Points

No abstract yet

Implication

Discussion

Cite This Study

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